کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844117 908576 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fixed points of non-expansive mappings associated with invariant means in a Banach space
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Fixed points of non-expansive mappings associated with invariant means in a Banach space
چکیده انگلیسی
In this paper, we study the fixed point set of the non-expansive mapping Tμ for a Banach space with uniformly Gâteaux differentiable norm when μ is a multiplicative left invariant mean on l∞(S). As an application, we establish nonlinear ergodic properties for an extremely amenable semigroup of non-expansive mappings in a Banach space with uniformly Gâteaux differentiable norm. Furthermore, we improve a recent result of Atsushiba and Takahashi [S. Atsushiba, W. Takahashi, Weak and strong convergence theorems for non-expansive semigroups in a Banach spaces satisfying Opial's condition, Sci. Math. Jpn. (in press)] on the fixed point set of non-expansive mappings associated with a left invariant mean on a left amenable semigroup.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 68, Issue 11, 1 June 2008, Pages 3316-3324
نویسندگان
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